The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x- 1.26 A, with a sample standard deviation of s- 0.44 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? State the null and alternate hypotheses. O Hg: p = 0.8; H,: p+ 0.8 O Ho: H0.8; H: - 0.8 O Hại p 0.8; H: p- 0.8 O Hạ: M - 0.8; Hạ: M* 0.8 O Hạ: p - 0.8; H,:p > 0.8 O Hạ: H- 0.8; H: > 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown e. O The Student's t, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known a. O The standard normal, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P.value. O P-value > 0.250 O 0.125 < P.value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P.value < 0.050 O 0.005 < P.value < 0.025 O P-value < 0.005
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x- 1.26 A, with a sample standard deviation of s- 0.44 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? State the null and alternate hypotheses. O Hg: p = 0.8; H,: p+ 0.8 O Ho: H0.8; H: - 0.8 O Hại p 0.8; H: p- 0.8 O Hạ: M - 0.8; Hạ: M* 0.8 O Hạ: p - 0.8; H,:p > 0.8 O Hạ: H- 0.8; H: > 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown e. O The Student's t, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known a. O The standard normal, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P.value. O P-value > 0.250 O 0.125 < P.value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P.value < 0.050 O 0.005 < P.value < 0.025 O P-value < 0.005
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.26 A, with a sample standard deviation of s = 0.44 A. Do the
data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.)
What are we testing in this problem?
O single proportion
O single mean
(a) What is the level
significance?
State the null and alternate hypotheses.
O Ho: p = 0.8; H: p+ 0.8
O Ho: H* 0.8; H: - 0.8
O Hạ: p+ 0.8; H: p = 0.8
O Họ: u = 0.8; H: 4* 0.8
O Hạ: p = 0.8; H: p > 0.8
O Hạ: H = 0.8; H;: 4 > 0.8
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal, since we assume that x has a normal distribution with unknown a.
O The Student's t, since we assume that x has a normal distribution with unknown a.
O The Student's t, since we assume that x has a normal distribution with known a.
O The standard normal, since we assume that x has a normal distribution with known a.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
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